文[1]由结论“在△ABC中,设BC=a,CA=b,AB=c,则△ABC是正三角形的充要条件是a·b=b·c=c·a”试图向正多边形进行推广,但没有成功.由此断言:正四边形和正五边形没有明显的向量特征,不能推广.因而上述结论也不能推广到正多边形.果真如此吗?事实上,正多边形也有它们的向量特征.本 The article [1] from the conclusion “in △ ABC, let BC = a, CA = b, AB = c, then △ ABC is a regular triangle and the necessary and sufficient condition is a · b = b · c = c · a” trying to positive Polygons are generalized but have not succeeded. It is thus asserted that regular and pentagons do not have obvious vector features and cannot be generalized. Therefore, the above conclusions cannot be generalized to regular polygons. If so, in fact, regular polygons also have their vectors. Features.